Q:

describe the graph of the functions y=|x+2|

Accepted Solution

A:
To obtain the graph of the function y = |x+2| we have to make a table of values of x to find the values of y. The absolute value or modulus of a real number is its numerical value without care its sign. For example, the absolute value of |4| and |-4| is 4.In order to make a graph we are going to use the values (-3, -2, -1, 0, 1, 2, 3) for x.x = -3y = |-3 + 2| = |-1| = 1x = -2 y = |-2 + 2| = |0| = 0x = -1y = |-1 + 2| = |1| = 1x = 0y = |0 + 2| = |2| = 2x = 1y = |1 + 2| = |3| = 3x = 2y = |2 + 2| = |4| = 4x = 3y = |3 + 2| = |5| = 5  x   ║   y -3        1 -2        0 -1         1  0        2  1         3  2        4  3        5Obtaining the graph shown in the image attached..